[PDF] Top 20 Equivalent properties of a reverse half discrete Hilbert’s inequality
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Equivalent properties of a reverse half discrete Hilbert’s inequality
... et al. [21] considered an extension of (1) involving the partial sums. In 2016–2017, by ap- plying the weight functions, Hong [22, 23] considered some equivalent statements of the extensions of (1) and (2) with a ... See full document
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A new more accurate half discrete Hilbert type inequality
... Hadamard’s inequality, we give a more accurate half-discrete Hilbert-type inequality with a best constant ...parameters, equivalent forms, operator expressions as well as some ... See full document
13
On a more accurate half discrete Hilbert's inequality
... Hadamard’s inequality, we give a more accurate half-discrete Hilbert’s inequality with a best constant ...the equivalent forms, the operator expressions as well as some ... See full document
12
On a half discrete inequality with a generalized homogeneous kernel
... a half-discrete inequality with a best constant factor is ...expressions, equivalent forms, reverse inequalities and some particular cases are ... See full document
15
A half discrete Hilbert type inequality with the non monotone kernel and the best constant factor
... the half-discrete Hilbert-type in- equalities with the non-homogeneous kernel (see Theorem ...some half-discrete Hilbert-type inequalities and their reverses with the monotone ... See full document
8
A more accurate half discrete Hardy Hilbert type inequality with the logarithmic function
... Hadamard’s inequality, a more accurate half-discrete Hardy-Hilbert-type inequality re- lated to the kernel of logarithmic function and a best possible constant factor is given by ... See full document
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A more accurate half-discrete Hardy-Hilbert-type inequality with the best possible constant factor related to the extended Riemann-Zeta function
... Hermite-Hadamard’s inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of the hyperbolic cosecant function with the best possible constant factor expressed ... See full document
27
On a more accurate half discrete Hardy Hilbert type inequality related to the kernel of exponential function
... Hermite-Hadamard’s inequality, a half-discrete Hardy-Hilbert-type inequality related to the kernel of exponential function with the best possible constant factor expressed by the gamma ... See full document
21
On a half discrete reverse Mulholland type inequality and an extension
... 3. Yang, B: Hilbert-Type Integral Inequalities. Bentham Science Publishers, Sharjah (2009) 4. Yang, B: Discrete Hilbert-Type Inequalities. Bentham Science Publishers, Sharjah (2011) 5. Yang, B: An ... See full document
9
A more accurate half discrete Hilbert type inequality with a non homogeneous kernel
... accurate half-discrete Hilbert-type inequality with a non-homogeneous kernel and a best constant factor is ...some equivalent forms, the operator expressions as well as some particular ... See full document
12
On a half discrete Hilbert type inequality similar to Mulholland’s inequality
... Hadamard’s inequality, a half-discrete Hilbert-type inequality similar to Mulholland’s inequality with a best constant factor is ...the equivalent forms as well as the ... See full document
8
A more accurate half discrete reverse Hilbert type inequality with a non homogeneous kernel
... and discrete Hilbert-type inequalities can be found in [–]. On half-discrete Hilbert-type inequalities with the general non-homogeneous kernels, Hardy et ... See full document
13
A half discrete Hilbert type inequality with a homogeneous kernel and an extension
... a half-discrete Hilbert-type inequality with a general homogeneous kernel is obtained, and a best extension with two interval variables is ...The equivalent forms, the operator ... See full document
16
Equivalent property of a half discrete Hilbert’s inequality with parameters
... a half- discrete Hilbert inequality with the nonhomogeneous kernel and its equivalent form are given in Theorem ...The equivalent statements of the constant factor being best ... See full document
11
A more accurate reverse half discrete Hilbert type inequality
... the half-discrete Hilbert-type inequalities has gradually be- come in ...the half-discrete Hilbert-type inequalities with the non-homogeneous kernel, which were published early ... See full document
12
New half discrete Hilbert inequalities for three variables
... are equivalent. Inequality (1) was first studied by D. Hilbert at the end of the 19th century, and hence, in his honor, it is referred to as the Hilbert ...corresponding discrete forms ... See full document
15
A discrete Hilbert type inequality in the whole plane
... a discrete Hilbert-type inequality in the whole plane with multi-parameters and a best possible constant factor is ...The equivalent forms, the operator expressions, and a few particular ... See full document
12
Half discrete Hilbert type inequalities involving differential operators
... Motivated by some recent results, in this paper we derive several half-discrete Hilbert-type inequalities with a homogeneous kernel involving some differential operators. The main results are proved ... See full document
12
On a Hilbert type inequality with a homogeneous kernel in ℝ2 and its equivalent form
... The inequality (1.1) may be classified into several types (discrete and integral etc.), which is of great importance in analysis and its applications [1,2]. Ever since the advent of inequality (1.1), ... See full document
11
Reverse Triangle Inequality for Hilbert C*-Modules
... Suppose that A is a C ∗ -algebra and X is a linear space which is an algebraic right A- module. The space X is called a pre-Hilbert A-module (or an inner product A-module) if there exists an A-valued inner product ... See full document
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